<html><head><title>Manual Pages for LAPACK 3.1</title></head><body alink="#ff0000" bgcolor="#f0f0f0" link="#0000ff" text="#000000" vlink="#c000c0"><a 

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<h1><hr><i>Index Routines for LAPACK 3.1</i><hr></h1>
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<caption>Lapack and Blas routines</caption>
<tbody><tr class="HEAD"><td WIDTH=150> Single </td> <td WIDTH=150>Complex </td> <td WIDTH=150>Double </td><td WIDTH=150> Double Complex</td> <td WIDTH=150> 

Auxilary</td></tr> 
<tr><td>	</a><a href="sasum.f.html"> sasum.f	</td><td>	&nbsp	</td><td>	</a><a href="dasum.f.html"> dasum.f	</td><td>	&nbsp	</td><td>	</a><a href="ieeeck.f.html"> ieeeck.f	</td></tr>
<tr><td>	</a><a href="saxpy.f.html"> saxpy.f	</td><td>	<a href="caxpy.f.html"> caxpy.f	</td><td>	</a><a href="daxpy.f.html"> daxpy.f	</td><td>	</a><a href="zaxpy.f.html"> zaxpy.f	</td><td>	</a><a href="ilaenv.f.html"> ilaenv.f	</td></tr>
<tr><td>	</a><a href="sbdsdc.f.html"> sbdsdc.f	</td><td>	&nbsp	</td><td>	</a><a href="dbdsdc.f.html"> dbdsdc.f	</td><td>	&nbsp	</td><td>	</a><a href="ilaver.f.html"> ilaver.f	</td></tr>
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<tr><td>	</a><a href="scasum.f.html"> scasum.f	</td><td>	&nbsp	</td><td>	&nbsp	</td><td>	&nbsp	</td><td>	</a><a href="lsamen.f.html"> lsamen.f	</td></tr>
<tr><td>	</a><a href="scnrm2.f.html"> scnrm2.f	</td><td>	&nbsp	</td><td>	&nbsp	</td><td>	&nbsp	</td><td>	</a><a href="xerbla.f.html"> xerbla.f	</td></tr>
<tr><td>	</a><a href="scopy.f.html"> scopy.f	</td><td>	</a><a href="ccopy.f.html"> ccopy.f	</td><td>	</a><a href="dcopy.f.html"> dcopy.f	</td><td>	</a><a href="zcopy.f.html"> zcopy.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="scsum1.f.html"> scsum1.f	</td><td>	&nbsp	</td><td>	&nbsp	</td><td>	&nbsp	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sdisna.f.html"> sdisna.f	</td><td>	&nbsp	</td><td>	</a><a href="ddisna.f.html"> ddisna.f	</td><td>	&nbsp	</td><td>	&nbsp	</td></tr>
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<tr><td>	&nbsp	</td><td>	</a><a href="cdotc.f.html"> cdotc.f	</td><td>	&nbsp	</td><td>	</a><a href="zdotc.f.html"> zdotc.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cdotu.f.html"> cdotu.f	</td><td>	&nbsp	</td><td>	</a><a href="zdotu.f.html"> zdotu.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	&nbsp	</td><td>	&nbsp	</td><td>	</a><a href="zdrot.f.html"> zdrot.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	&nbsp	</td><td>	&nbsp	</td><td>	</a><a href="zdrscl.f.html"> zdrscl.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	&nbsp	</td><td>	&nbsp	</td><td>	</a><a href="zdscal.f.html"> zdscal.f	</td><td>	&nbsp	</td></tr>
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<tr><td>	</a><a href="sgegs.f.html"> sgegs.f	</td><td>	</a><a href="cgegs.f.html"> cgegs.f	</td><td>	</a><a href="dgegs.f.html"> dgegs.f	</td><td>	</a><a href="zgegs.f.html"> zgegs.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgegv.f.html"> sgegv.f	</td><td>	</a><a href="cgegv.f.html"> cgegv.f	</td><td>	</a><a href="dgegv.f.html"> dgegv.f	</td><td>	</a><a href="zgegv.f.html"> zgegv.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgehd2.f.html"> sgehd2.f	</td><td>	</a><a href="cgehd2.f.html"> cgehd2.f	</td><td>	</a><a href="dgehd2.f.html"> dgehd2.f	</td><td>	</a><a href="zgehd2.f.html"> zgehd2.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgehrd.f.html"> sgehrd.f	</td><td>	</a><a href="cgehrd.f.html"> cgehrd.f	</td><td>	</a><a href="dgehrd.f.html"> dgehrd.f	</td><td>	</a><a href="zgehrd.f.html"> zgehrd.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgelq2.f.html"> sgelq2.f	</td><td>	</a><a href="cgelq2.f.html"> cgelq2.f	</td><td>	</a><a href="dgelq2.f.html"> dgelq2.f	</td><td>	</a><a href="zgelq2.f.html"> zgelq2.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgelqf.f.html"> sgelqf.f	</td><td>	</a><a href="cgelqf.f.html"> cgelqf.f	</td><td>	</a><a href="dgelqf.f.html"> dgelqf.f	</td><td>	</a><a href="zgelqf.f.html"> zgelqf.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgels.f.html"> sgels.f	</td><td>	</a><a href="cgels.f.html"> cgels.f	</td><td>	</a><a href="dgels.f.html"> dgels.f	</td><td>	</a><a href="zgels.f.html"> zgels.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgelsd.f.html"> sgelsd.f	</td><td>	</a><a href="cgelsd.f.html"> cgelsd.f	</td><td>	</a><a href="dgelsd.f.html"> dgelsd.f	</td><td>	</a><a href="zgelsd.f.html"> zgelsd.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgelss.f.html"> sgelss.f	</td><td>	</a><a href="cgelss.f.html"> cgelss.f	</td><td>	</a><a href="dgelss.f.html"> dgelss.f	</td><td>	</a><a href="zgelss.f.html"> zgelss.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgelsx.f.html"> sgelsx.f	</td><td>	</a><a href="cgelsx.f.html"> cgelsx.f	</td><td>	</a><a href="dgelsx.f.html"> dgelsx.f	</td><td>	</a><a href="zgelsx.f.html"> zgelsx.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgelsy.f.html"> sgelsy.f	</td><td>	</a><a href="cgelsy.f.html"> cgelsy.f	</td><td>	</a><a href="dgelsy.f.html"> dgelsy.f	</td><td>	</a><a href="zgelsy.f.html"> zgelsy.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgemm.f.html"> sgemm.f	</td><td>	</a><a href="cgemm.f.html"> cgemm.f	</td><td>	</a><a href="dgemm.f.html"> dgemm.f	</td><td>	</a><a href="zgemm.f.html"> zgemm.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgemv.f.html"> sgemv.f	</td><td>	</a><a href="cgemv.f.html"> cgemv.f	</td><td>	</a><a href="dgemv.f.html"> dgemv.f	</td><td>	</a><a href="zgemv.f.html"> zgemv.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgeql2.f.html"> sgeql2.f	</td><td>	</a><a href="cgeql2.f.html"> cgeql2.f	</td><td>	</a><a href="dgeql2.f.html"> dgeql2.f	</td><td>	</a><a href="zgeql2.f.html"> zgeql2.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgeqlf.f.html"> sgeqlf.f	</td><td>	</a><a href="cgeqlf.f.html"> cgeqlf.f	</td><td>	</a><a href="dgeqlf.f.html"> dgeqlf.f	</td><td>	</a><a href="zgeqlf.f.html"> zgeqlf.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgeqp3.f.html"> sgeqp3.f	</td><td>	</a><a href="cgeqp3.f.html"> cgeqp3.f	</td><td>	</a><a href="dgeqp3.f.html"> dgeqp3.f	</td><td>	</a><a href="zgeqp3.f.html"> zgeqp3.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgeqpf.f.html"> sgeqpf.f	</td><td>	</a><a href="cgeqpf.f.html"> cgeqpf.f	</td><td>	</a><a href="dgeqpf.f.html"> dgeqpf.f	</td><td>	</a><a href="zgeqpf.f.html"> zgeqpf.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgeqr2.f.html"> sgeqr2.f	</td><td>	</a><a href="cgeqr2.f.html"> cgeqr2.f	</td><td>	</a><a href="dgeqr2.f.html"> dgeqr2.f	</td><td>	</a><a href="zgeqr2.f.html"> zgeqr2.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgeqrf.f.html"> sgeqrf.f	</td><td>	</a><a href="cgeqrf.f.html"> cgeqrf.f	</td><td>	</a><a href="dgeqrf.f.html"> dgeqrf.f	</td><td>	</a><a href="zgeqrf.f.html"> zgeqrf.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sger.f.html"> sger.f	</td><td>	</a><a href="cgeru.f.html"> cgeru.f	</td><td>	</a><a href="dger.f.html"> dger.f	</td><td>	</a><a href="zgeru.f.html"> zgeru.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cgerc.f.html"> cgerc.f	</td><td>	&nbsp	</td><td>	</a><a href="zgerc.f.html"> zgerc.f	</td><td>	&nbsp	</td></tr>
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<tr><td>	</a><a href="sgesdd.f.html"> sgesdd.f	</td><td>	</a><a href="cgesdd.f.html"> cgesdd.f	</td><td>	</a><a href="dgesdd.f.html"> dgesdd.f	</td><td>	</a><a href="zgesdd.f.html"> zgesdd.f	</td><td>	&nbsp	</td></tr>
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<tr><td>  &nbsp   </td><td>  &nbsp   </td><td>   </a><a href="dsgesv.f.html"> dsgesv.f </td><td>   </a><a href="zcgesv.f.html"> zcgesv.f </td><td>   &nbsp   </td></tr>
<tr><td>	</a><a href="sgesvd.f.html"> sgesvd.f	</td><td>	</a><a href="cgesvd.f.html"> cgesvd.f	</td><td>	</a><a href="dgesvd.f.html"> dgesvd.f	</td><td>	</a><a href="zgesvd.f.html"> zgesvd.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="sgesvx.f.html"> sgesvx.f	</td><td>	</a><a href="cgesvx.f.html"> cgesvx.f	</td><td>	</a><a href="dgesvx.f.html"> dgesvx.f	</td><td>	</a><a href="zgesvx.f.html"> zgesvx.f	</td><td>	&nbsp	</td></tr>
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<tr><td>	</a><a href="strsen.f.html"> strsen.f	</td><td>	</a><a href="ctrrfs.f.html"> ctrrfs.f	</td><td>	</a><a href="dtrrfs.f.html"> dtrrfs.f	</td><td>	</a><a href="ztrrfs.f.html"> ztrrfs.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="strsm.f.html"> strsm.f	</td><td>	</a><a href="ctrsen.f.html"> ctrsen.f	</td><td>	</a><a href="dtrsen.f.html"> dtrsen.f	</td><td>	</a><a href="ztrsen.f.html"> ztrsen.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="strsna.f.html"> strsna.f	</td><td>	</a><a href="ctrsm.f.html"> ctrsm.f	</td><td>	</a><a href="dtrsm.f.html"> dtrsm.f	</td><td>	</a><a href="ztrsm.f.html"> ztrsm.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="strsv.f.html"> strsv.f	</td><td>	</a><a href="ctrsna.f.html"> ctrsna.f	</td><td>	</a><a href="dtrsna.f.html"> dtrsna.f	</td><td>	</a><a href="ztrsna.f.html"> ztrsna.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="strsyl.f.html"> strsyl.f	</td><td>	</a><a href="ctrsv.f.html"> ctrsv.f	</td><td>	</a><a href="dtrsv.f.html"> dtrsv.f	</td><td>	</a><a href="ztrsv.f.html"> ztrsv.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="strti2.f.html"> strti2.f	</td><td>	</a><a href="ctrsyl.f.html"> ctrsyl.f	</td><td>	</a><a href="dtrsyl.f.html"> dtrsyl.f	</td><td>	</a><a href="ztrsyl.f.html"> ztrsyl.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="strtri.f.html"> strtri.f	</td><td>	</a><a href="ctrti2.f.html"> ctrti2.f	</td><td>	</a><a href="dtrti2.f.html"> dtrti2.f	</td><td>	</a><a href="ztrti2.f.html"> ztrti2.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="strtrs.f.html"> strtrs.f	</td><td>	</a><a href="ctrtri.f.html"> ctrtri.f	</td><td>	</a><a href="dtrtri.f.html"> dtrtri.f	</td><td>	</a><a href="ztrtri.f.html"> ztrtri.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="stzrqf.f.html"> stzrqf.f	</td><td>	</a><a href="ctrtrs.f.html"> ctrtrs.f	</td><td>	</a><a href="dtrtrs.f.html"> dtrtrs.f	</td><td>	</a><a href="ztrtrs.f.html"> ztrtrs.f	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="stzrzf.f.html"> stzrzf.f	</td><td>	</a><a href="ctzrqf.f.html"> ctzrqf.f	</td><td>	</a><a href="dtzrqf.f.html"> dtzrqf.f	</td><td>	</a><a href="ztzrqf.f.html"> ztzrqf.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="ctzrzf.f.html"> ctzrzf.f	</td><td>	</a><a href="dtzrzf.f.html"> dtzrzf.f	</td><td>	</a><a href="ztzrzf.f.html"> ztzrzf.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cung2l.f.html"> cung2l.f	</td><td>	&nbsp	</td><td>	</a><a href="zung2l.f.html"> zung2l.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cung2r.f.html"> cung2r.f	</td><td>	&nbsp	</td><td>	</a><a href="zung2r.f.html"> zung2r.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cungbr.f.html"> cungbr.f	</td><td>	&nbsp	</td><td>	</a><a href="zungbr.f.html"> zungbr.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunghr.f.html"> cunghr.f	</td><td>	&nbsp	</td><td>	</a><a href="zunghr.f.html"> zunghr.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cungl2.f.html"> cungl2.f	</td><td>	&nbsp	</td><td>	</a><a href="zungl2.f.html"> zungl2.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunglq.f.html"> cunglq.f	</td><td>	&nbsp	</td><td>	</a><a href="zunglq.f.html"> zunglq.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cungql.f.html"> cungql.f	</td><td>	&nbsp	</td><td>	</a><a href="zungql.f.html"> zungql.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cungqr.f.html"> cungqr.f	</td><td>	&nbsp	</td><td>	</a><a href="zungqr.f.html"> zungqr.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cungr2.f.html"> cungr2.f	</td><td>	&nbsp	</td><td>	</a><a href="zungr2.f.html"> zungr2.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cungrq.f.html"> cungrq.f	</td><td>	&nbsp	</td><td>	</a><a href="zungrq.f.html"> zungrq.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cungtr.f.html"> cungtr.f	</td><td>	&nbsp	</td><td>	</a><a href="zungtr.f.html"> zungtr.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunm2l.f.html"> cunm2l.f	</td><td>	&nbsp	</td><td>	</a><a href="zunm2l.f.html"> zunm2l.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunm2r.f.html"> cunm2r.f	</td><td>	&nbsp	</td><td>	</a><a href="zunm2r.f.html"> zunm2r.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunmbr.f.html"> cunmbr.f	</td><td>	&nbsp	</td><td>	</a><a href="zunmbr.f.html"> zunmbr.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunmhr.f.html"> cunmhr.f	</td><td>	&nbsp	</td><td>	</a><a href="zunmhr.f.html"> zunmhr.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunml2.f.html"> cunml2.f	</td><td>	&nbsp	</td><td>	</a><a href="zunml2.f.html"> zunml2.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunmlq.f.html"> cunmlq.f	</td><td>	&nbsp	</td><td>	</a><a href="zunmlq.f.html"> zunmlq.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunmql.f.html"> cunmql.f	</td><td>	&nbsp	</td><td>	</a><a href="zunmql.f.html"> zunmql.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunmqr.f.html"> cunmqr.f	</td><td>	&nbsp	</td><td>	</a><a href="zunmqr.f.html"> zunmqr.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunmr2.f.html"> cunmr2.f	</td><td>	&nbsp	</td><td>	</a><a href="zunmr2.f.html"> zunmr2.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunmr3.f.html"> cunmr3.f	</td><td>	&nbsp	</td><td>	</a><a href="zunmr3.f.html"> zunmr3.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunmrq.f.html"> cunmrq.f	</td><td>	&nbsp	</td><td>	</a><a href="zunmrq.f.html"> zunmrq.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunmrz.f.html"> cunmrz.f	</td><td>	&nbsp	</td><td>	</a><a href="zunmrz.f.html"> zunmrz.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cunmtr.f.html"> cunmtr.f	</td><td>	&nbsp	</td><td>	</a><a href="zunmtr.f.html"> zunmtr.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cupgtr.f.html"> cupgtr.f	</td><td>	&nbsp	</td><td>	</a><a href="zupgtr.f.html"> zupgtr.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="cupmtr.f.html"> cupmtr.f	</td><td>	&nbsp	</td><td>	</a><a href="zupmtr.f.html"> zupmtr.	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	&nbsp	</td><td>	</a><a href="dzasum.f.html"> dzasum.f	</td><td>	&nbsp	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	&nbsp	</td><td>	</a><a href="dznrm2.f.html"> dznrm2.f	</td><td>	&nbsp	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	&nbsp	</td><td>	</a><a href="dzsum1.f.html"> dzsum1.f	</td><td>	&nbsp	</td><td>	&nbsp	</td></tr>
<tr><td>	</a><a href="isamax.f.html"> isamax.f	</td><td>	</a><a href="icamax.f.html"> icamax.f	</td><td>	</a><a href="idamax.f.html"> idamax.f	</td><td>	</a><a href="izamax.f.html"> izamax.f	</td><td>	&nbsp	</td></tr>
<tr><td>	&nbsp	</td><td>	</a><a href="icmax1.f.html"> icmax1.f	</td><td>	&nbsp	</td><td>	</a><a href="izmax1.f.html"> izmax1.f	</td><td>	&nbsp	</td></tr>


</tbody></table>
</center>
<table width="100%"><tbody><tr> <td width="33%"><i> LAPACK version 3.1 </i></td><td align="right" width="33%"><i>November 2006</i></td> </tr></tbody></table>

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